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Finding the Third Proportional to 113,668 and 246,993

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Solution

The third proportional to 113,668 and 246,993 is: 536,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,668 : 246,993 = 246,993 : x
  2. Step 2: Convert to fraction form
    113,668/246,993 = 246,993/x
  3. Step 3: Cross multiply
    113,668x = 246,993 × 246,993
  4. Step 4: Simplify right side
    113,668x = 61,005,542,049
  5. Step 5: Solve for x
    x = 61,005,542,049/113,668
  6. Step 6: Final answer
    x = 536,699.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.